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Finding the Fourth Proportional to 561.12, 841.58 and 150.27

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Solution

The fourth proportional to 561.12, 841.58 and 150.27 is: 225.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.12 : 841.58 = 150.27 : x
  2. Step 2: Convert to fraction form
    561.12/841.58 = 150.27/x
  3. Step 3: Cross multiply
    561.12x = 841.58 × 150.27
  4. Step 4: Simplify right side
    561.12x = 126,463.48
  5. Step 5: Solve for x
    x = 126,463.48/561.12
  6. Step 6: Final answer
    x = 225.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.